Linda draws a triangle on the coordinate grid with vertices at (1, 2), (3, - 4), and (7, 0). She translates this triangle 3 units to the left and 1 unit down. What are the coordinates of the rightmost vertex on her translated triangle?

Question

(1 point)

Answer 1

To find the coordinates of the rightmost vertex after translating the triangle, we first need to translate each vertex of the triangle (1, 2), (3, -4), and (7, 0).

The translation involves moving each vertex 3 units to the left and 1 unit down. This means we subtract 3 from the x-coordinate and 1 from the y-coordinate of each vertex.

1. For the vertex (1, 2):

   • New coordinates: (1 - 3, 2 - 1) = (-2, 1)

2. For the vertex (3, -4):

   • New coordinates: (3 - 3, -4 - 1) = (0, -5)

3. For the vertex (7, 0):

   • New coordinates: (7 - 3, 0 - 1) = (4, -1)

Now we list the new vertices after translation:

• Vertex 1: (-2, 1)
• Vertex 2: (0, -5)
• Vertex 3: (4, -1)

Next, we find the rightmost vertex by comparing the x-coordinates of all three vertices. The vertex with the highest x-coordinate is the rightmost vertex.

• From (-2, 1), the x-coordinate is -2.
• From (0, -5), the x-coordinate is 0.
• From (4, -1), the x-coordinate is 4.

The rightmost vertex is (4, -1).

Therefore, the coordinates of the rightmost vertex on Linda's translated triangle are \(\boxed{(4, -1)}\).